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Congress can modify federal common law (when it exists - it generally doesn't), but not precedents on legislation, regulations, rulings, or the constitution. The only way to get around those precedents is to hope for a new SC decision, or to alter the text in question. See Lily Ledbetter.

Congress can also limit the Supreme Court's appellate jurisdiction, even to the point of intervening in a case already in litigation. This is very rarely done, however.